P. Akulov, V. Tartakovsky, Yu N. Lsaev, V. D. Nesvetailo, Y. Volkov, V. Popov
{"title":"Mathematical model of the radial cross section of tree rings","authors":"P. Akulov, V. Tartakovsky, Yu N. Lsaev, V. D. Nesvetailo, Y. Volkov, V. Popov","doi":"10.1109/IFOST.2012.6357810","DOIUrl":null,"url":null,"abstract":"A mathematical model of tree rings in the form of an interference pattern is presented. The model allows retrospective reconstruction of continuous radial growth of a tree during the entire vegetation season. The radial dependence of the wood density is considered as a certain oscillation whose phase is a strictly increasing function of radius. The radial growth is defined as a monotonic function of time, inverse with respect to the phase. Algorithms for model analysis are based on the condition of dispersion causality. Experimental results are discussed.","PeriodicalId":319762,"journal":{"name":"2012 7th International Forum on Strategic Technology (IFOST)","volume":"19 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 7th International Forum on Strategic Technology (IFOST)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IFOST.2012.6357810","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
A mathematical model of tree rings in the form of an interference pattern is presented. The model allows retrospective reconstruction of continuous radial growth of a tree during the entire vegetation season. The radial dependence of the wood density is considered as a certain oscillation whose phase is a strictly increasing function of radius. The radial growth is defined as a monotonic function of time, inverse with respect to the phase. Algorithms for model analysis are based on the condition of dispersion causality. Experimental results are discussed.
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